Q. 134.7( 6 Votes )

State whether the two lines through (5, 6) and (2, 3); through (9, – 2) and (6, – 5) are parallel, perpendicular or neither.

Answer :

We have given Coordinates off two lines.

Given: (5, 6) and (2, 3); (9, – 2) and 96, – 5)


To Find: Check whether Given lines are perpendicular to each other or parallel to each other.


Concept Used: If the slopes of this line are equal the lines are parallel to each other. Similarly, If the product of the slopes of this two line is – 1, then lines are perpendicular to each other.


The formula used: Slope of a line, m =


Now, The slope of the line whose Coordinates are (5, 6) and (2, 3)




So, m1 = 1


Now, The slope of the line whose Coordinates are (9, – 2) and (6, – 5)




So, m2 = 1


Here, m1 = m2 = 1


Hence, The lines are parallel to each other.

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